期刊论文详细信息
JOURNAL OF NUMBER THEORY 卷:189
Counting rational points on smooth cubic curves
Article
Manh Hung Tran1 
[1] Chalmers Univ Technol, Dept Math Sci, Gothenburg, Sweden
关键词: Cubic curves;    Rational points;    Counting function;    Elliptic curves;    Global determinant method;    Descent;   
DOI  :  10.1016/j.jnt.2017.12.001
来源: Elsevier
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【 摘 要 】

We use a global version of Heath-Brown's p-adic determinant method developed by Salberger to give upper bounds for the number of rational points of height at most B on non-singular cubic curves defined over Q. The bounds are uniform in the sense that they only depend on the rank of the corresponding Jacobian. (C) 2018 Elsevier Inc. All rights reserved.

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